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1534132040 = 235733116553
BaseRepresentation
bin101101101110000…
…1111111101001000
310221220201222112012
41123130033331020
511120214211130
6412121435052
753005623110
oct13334177510
93856658465
101534132040
11717a83121
1236993ba88
131b5ab2c4c
14107a6a040
158ea3c995
hex5b70ff48

1534132040 has 64 divisors (see below), whose sum is σ = 3957068160. Its totient is φ = 524367360.

The previous prime is 1534132007. The next prime is 1534132043. The reversal of 1534132040 is 402314351.

It is a super-2 number, since 2×15341320402 = 4707122232309123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1534131997 and 1534132015.

It is not an unprimeable number, because it can be changed into a prime (1534132043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84404 + ... + 100956.

It is an arithmetic number, because the mean of its divisors is an integer number (61829190).

Almost surely, 21534132040 is an apocalyptic number.

1534132040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1534132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978534080).

1534132040 is an abundant number, since it is smaller than the sum of its proper divisors (2422936120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1534132040 is a wasteful number, since it uses less digits than its factorization.

1534132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16902 (or 16898 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1534132040 is about 39167.9976511437. The cubic root of 1534132040 is about 1153.3317469842.

Adding to 1534132040 its reverse (402314351), we get a palindrome (1936446391).

The spelling of 1534132040 in words is "one billion, five hundred thirty-four million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 331 662 1324 1655 2317 2648 3310 4634 6620 9268 11585 13240 16553 18536 23170 33106 46340 66212 82765 92680 115871 132424 165530 231742 331060 463484 579355 662120 926968 1158710 2317420 4634840 5479043 10958086 21916172 27395215 38353301 43832344 54790430 76706602 109580860 153413204 191766505 219161720 306826408 383533010 767066020 1534132040